λ
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Atlas › Integer Profiles › Node 4,133,374

4,133,374

2 × 7 × 19 × 41 × 379
Deficient Even Composite

4,133,374 factors as 2 × 7 × 19 × 41 × 379. Its 32 positive divisors give a proper-divisor sum of 3,527,426, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2 × 7 × 19 × 41 × 379
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,660,800
Proper Divisor Sum 3,527,426
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4133369 ← → #4133377

Radix Representation

Decimal 4133374
Binary 1111110001000111111110 (22 bits)
Octal 0o17610776
Hexadecimal 0x3F11FE

Divisor Catalog (32)

1 2 7 14 19 38 41 82 133 266 287 379 574 758 779 1,558 2,653 5,306 5,453 7,201 10,906 14,402 15,539 31,078 50,407 100,814 108,773 217,546 295,241 590,482 2,066,687 4,133,374

Collatz Trajectory (92 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

4,133,374 2,066,687 6,200,062 3,100,031 9,300,094 4,650,047 13,950,142 6,975,071 20,925,214 10,462,607 31,387,822 15,693,911 47,081,734 23,540,867 70,622,602 35,311,301 105,933,904 52,966,952 26,483,476 13,241,738 6,620,869 19,862,608 9,931,304 4,965,652 2,482,826 1,241,413 3,724,240 1,862,120 931,060 465,530 232,765 698,296 349,148 174,574 87,287 261,862 130,931 392,794 196,397 589,192 294,596 147,298 73,649 220,948 110,474 55,237 165,712 82,856 41,428 20,714 10,357 31,072 15,536 7,768 3,884 1,942 971 2,914 1,457 4,372

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